Question

a sum of rupees 4200 becomes rupees 5082 in 3 years rate simple interest. what is the rate of interest​

Answer 1

Hey Mate here is your answer ✌️☺️

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The rate of interest is 7%

$\textbf{\underline{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

The Given Money = Rs.4200 it becomes Rs.5082 in 3 years.

$\textsf{\underline{\underline{To find :}}}$

The Rate of Interest

$\textsf{\underline{\underline{Solution :}}}$

Here,

Principal = Rs.4200

Time = 3 years

Amount = Rs.5082

Simple Interest = Amount - Principal

. = 5082 - 4200

Simple Interest = 882

★ We know that :

$\boxed{\tt{SI = \frac{Principal \times Rate \times Time}{100}}}$

$\sf{\implies} \: 882 = \dfrac{4200 \times 3 \times Rate}{100}$

$\sf{\implies} \: 882 = \dfrac{12600\times Rate}{100}$

$\sf{\implies} \: 882 \times 100= 12600 \times Rate$

$\sf{\implies} \:Rate = \dfrac{88200}{12600}$

$\sf{\implies} \:Rate = 7$

$\sf{\implies}\red{ \:Rate = 7\%}$

$\therefore$ The rate of interest is 7%